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  <section id="module-sympy.physics.paulialgebra">
<span id="pauli-algebra"></span><h1>Pauli Algebra<a class="headerlink" href="#module-sympy.physics.paulialgebra" title="Permalink to this headline">¶</a></h1>
<p>This module implements Pauli algebra by subclassing Symbol. Only algebraic
properties of Pauli matrices are used (we don’t use the Matrix class).</p>
<p>See the documentation to the class Pauli for examples.</p>
<section id="references">
<h2>References<a class="headerlink" href="#references" title="Permalink to this headline">¶</a></h2>
<dl class="citation">
<dt class="label" id="r619"><span class="brackets">R619</span></dt>
<dd><p><a class="reference external" href="https://en.wikipedia.org/wiki/Pauli_matrices">https://en.wikipedia.org/wiki/Pauli_matrices</a></p>
</dd>
</dl>
<dl class="py function">
<dt class="sig sig-object py" id="sympy.physics.paulialgebra.evaluate_pauli_product">
<span class="sig-prename descclassname"><span class="pre">sympy.physics.paulialgebra.</span></span><span class="sig-name descname"><span class="pre">evaluate_pauli_product</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">arg</span></span></em><span class="sig-paren">)</span><a class="reference external" href="https://github.com/sympy/sympy/blob/00d6469eafdd4aac346a0b598184c15f2560dbe5/sympy/physics/paulialgebra.py#L160-L227"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#sympy.physics.paulialgebra.evaluate_pauli_product" title="Permalink to this definition">¶</a></dt>
<dd><p>Help function to evaluate Pauli matrices product
with symbolic objects.</p>
<dl class="field-list simple">
<dt class="field-odd">Parameters</dt>
<dd class="field-odd"><p><strong>arg: symbolic expression that contains Paulimatrices</strong></p>
</dd>
</dl>
<p class="rubric">Examples</p>
<div class="doctest highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">sympy.physics.paulialgebra</span> <span class="kn">import</span> <span class="n">Pauli</span><span class="p">,</span> <span class="n">evaluate_pauli_product</span>
<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">sympy</span> <span class="kn">import</span> <span class="n">I</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">evaluate_pauli_product</span><span class="p">(</span><span class="n">I</span><span class="o">*</span><span class="n">Pauli</span><span class="p">(</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="n">Pauli</span><span class="p">(</span><span class="mi">2</span><span class="p">))</span>
<span class="go">-sigma3</span>
</pre></div>
</div>
<div class="doctest highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">sympy.abc</span> <span class="kn">import</span> <span class="n">x</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">evaluate_pauli_product</span><span class="p">(</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">Pauli</span><span class="p">(</span><span class="mi">2</span><span class="p">)</span><span class="o">*</span><span class="n">Pauli</span><span class="p">(</span><span class="mi">1</span><span class="p">))</span>
<span class="go">-I*x**2*sigma3</span>
</pre></div>
</div>
</dd></dl>

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  <h3><a href="../../index.html">Table of Contents</a></h3>
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<li><a class="reference internal" href="#">Pauli Algebra</a><ul>
<li><a class="reference internal" href="#references">References</a></li>
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